Question

Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is​

Answer 1

Let the angles of the triangle be 2x, 4x and 3x

Then by angle sum property,

2x + 4x + 3x = 180

9x = 180

x = 20

Hence the angles of the traingle will be

2*20 = 40

4*20 = 80

3*20 = 60

Therefore the smallest angle will be 40

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Answer 2

Step-by-step explanation:

Angles are in ratio 2:4:3

we take angles as 2x , 4x and 3x

sum of angles in a triangle = 180°

2x+4x+3x=180°

9x=180°

$x = \frac{180}{9}$

x=20°

So, angles formed are

2x=40°

4x=80°

3x=60°

Here clearly the smallest angle is 2x i.e., 40°

Hence, smallest angle is 40°

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